Study Guide

Objective

The student:
- understands that independent work, focusing and accuracy constitute the conditions for learning
- understands that it is important to cooperate and to be sensitive for different angles of approach and to take them into consideration
- knows how to solve mathematical problems
- is able to apply the trigonometry of a right-angled triangle
- is able to solve polynomial equations and interpret polynomial functions graphically
- is able to represent and calculate by using arithmetic and geometric series
- understands how scientific phenomena can be described by using mathematical functions and models
- knows how to use basic logarithm rules in order to solve exponential equations
- understands the reasons for using and the possibilities gained by using logarithm and exponential functions
- is familiar with the concepts of limit, differential coefficient and integral and knows how to apply rules for simple functions

Content

Mathematickal expressions
Equations of the first degree
Formulas
Equations of the second degree
Squation systems
Polynomial functions, exponential and logarithmic functions
Rules of Logarithms
Exponential equations
Derivatives, physical examples and simple optimizations
From the basic mathematics course:
- Units and fractions
- Proportionality
- Percent
- Rectangular triangle
- Areas and volumes

Qualifications

No previous knowledge is required